10213131310300 has 72 divisors (see below), whose sum is σ = 22295837412576. Its totient is φ = 4060684373760.

The previous prime is 10213131310259. The next prime is 10213131310381. The reversal of 10213131310300 is 301313131201.

It is a super-2 number, since 2×10213131310300² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76000969 + ... + 76135231.

It is an arithmetic number, because the mean of its divisors is an integer number (309664408508).

Almost surely, 2^{10213131310300} is an apocalyptic number.

10213131310300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10213131310300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11147918706288).

10213131310300 is an abundant number, since it is smaller than the sum of its proper divisors (12082706102276).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10213131310300 is a wasteful number, since it uses less digits than its factorization.

10213131310300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138847 (or 138840 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 10213131310300 its reverse (301313131201), we get a palindrome (10514444441501).

The spelling of 10213131310300 in words is "ten trillion, two hundred thirteen billion, one hundred thirty-one million, three hundred ten thousand, three hundred".